2011International Journal of the Physical SciencesOpen access

Multi-Dimensional coordinate spaces

Mario Arturo Ruiz Estrada

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Abstract

This paper introduces a new group of multi-dimensional coordinate spaces. The main objective is to visualize n-dimensions in the same graphical space and time. This paper is divided into three parts. The first part shows the literature review about dimension and coordinate systems (Cartesian plane and coordinate space). The second part will present how the multi-dimensional coordinate spaces works. The third part of this paper shows fourteen different multidimensional coordinate spaces which are: the pyramid coordinate space with five and infinite axes; the diamond coordinate space with ten and infinite axes; the 4-dimensional coordinate space in vertical and horizontal position; the 5-dimensional coordinate space in vertical and horizontal position; the infinity-dimensional coordinate space under general and specific approach; the inter-linkage coordinate space; the cube-wrap coordinate space; and the mega-surface coordinate space.     Key words: Econographicology, multi-dimensional graphs and multi-dimensional geometry. JEL classification: CO2.

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What this paper is about

This paper introduces a new group of multi-dimensional coordinate spaces. The main objective is to visualize n-dimensions in the same graphical space and time. This paper is divided into three parts. The first part shows the literature review about dimension and coordinate systems (Cartesian plane and coordinate space). The second part will present how the multi-dimensional coordinate spaces works. The third part of this paper shows fourteen different multidimensional coordinate spaces which are: the pyramid coordinate space with five and infinite axes; the diamond coordinate space with ten and infinite axes; the 4-dimensional coordinate space in vertical and horizontal position; the 5-dimensional coordinate space in vertical and horizontal position; the infinity-dimensional coordinate space under general and specific approach; the inter-linkage coordinate space; the cube-wrap coordinate space; and the mega-surface coordinate space.     Key words: Econographicology, multi-dimensional graphs and multi-dimensional geometry. JEL classification: CO2.

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Available abstract

This paper introduces a new group of multi-dimensional coordinate spaces. The main objective is to visualize n-dimensions in the same graphical space and time. This paper is divided into three parts. The first part shows the literature review about dimension and coordinate systems (Cartesian plane and coordinate space). The second part will present how the multi-dimensional coordinate spaces works. The third part of this paper shows fourteen different multidimensional coordinate spaces which are: the pyramid coordinate space with five and infinite axes; the diamond coordinate space with ten and infinite axes; the 4-dimensional coordinate space in vertical and horizontal position; the 5-dimensional coordinate space in vertical and horizontal position; the infinity-dimensional coordinate space under general and specific approach; the inter-linkage coordinate space; the cube-wrap coordinate space; and the mega-surface coordinate space.     Key words: Econographicology, multi-dimensional graphs and multi-dimensional geometry. JEL classification: CO2.

Key concepts: Coordinate space, Coordinate system, Ellipsoidal coordinates, Cartesian coordinate system, Space (punctuation), Position (finance), Elliptic coordinate system, Dimension (graph theory)

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